Title: Vibration and Damping in Distributed Systems, Volume I Author: Goong Chen & Jianxin Zhou ISBN: 0849371619 / 9780849371615 Format: Hard Cover Pages: 464 Publisher: CRC Press Year: 1993 Availability: In Stock
Description
Contents
Vibration and Damping in Distributed Systems, Volume I provides a comprehensive account of the mathematical study and self-contained analysis of vibration and damping in systems governed by partial differential equations. The book presents partial differential equations techniques for the mathematical study of this subject. A special objective of establishing the stability theory to treat many distributed vibration models containing damping is discussed. It presents the theory and methods of functional analysis, energy identities, and strongly continuous and holomorphic semigroups. Many mechanical designs are illustrated to provide concrete examples of damping devices. Numerical examples are also included to confirm the strong agreements between the theoretical estimates and numerical computations of damping rates of eigenmodes.
Preface
Acknowledgements
Notation and Abbreviations
Chapter 1 : Vibration, Wave Propagation and Damping in One Space Dimension Chapter 2 : Functional Analysis Chapter 3 : Distributions, Sobolev Spaces and Boundary Value Problems Chapter 4 : Strongly Continuous Semigroups of Evolution Chapter 5 : Asymptotic Stability and Exponential Decay of Energy Chapter 6 : The Method of Energy Identities Chapter 7 : Holmorphic Semigroups Corresponding to Structures with Strong Damping
Appendix
Bibligraphy